Solve 43600/522

$$\frac { 43600 } { 522 }$$

Evaluate

$$\frac{21800}{261}\approx 83.524904215$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 43600

$$\begin{array}{l}\phantom{522)}\phantom{1}\\522\overline{)43600}\\\end{array}$$

Since 4 is less than 522, use the next digit 3 from dividend 43600 and add 0 to the quotient

$$\begin{array}{l}\phantom{522)}0\phantom{2}\\522\overline{)43600}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 43600

$$\begin{array}{l}\phantom{522)}0\phantom{3}\\522\overline{)43600}\\\end{array}$$

Since 43 is less than 522, use the next digit 6 from dividend 43600 and add 0 to the quotient

$$\begin{array}{l}\phantom{522)}00\phantom{4}\\522\overline{)43600}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 43600

$$\begin{array}{l}\phantom{522)}00\phantom{5}\\522\overline{)43600}\\\end{array}$$

Since 436 is less than 522, use the next digit 0 from dividend 43600 and add 0 to the quotient

$$\begin{array}{l}\phantom{522)}000\phantom{6}\\522\overline{)43600}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 43600

$$\begin{array}{l}\phantom{522)}000\phantom{7}\\522\overline{)43600}\\\end{array}$$

Find closest multiple of 522 to 4360. We see that 8 \times 522 = 4176 is the nearest. Now subtract 4176 from 4360 to get reminder 184. Add 8 to quotient.

$$\begin{array}{l}\phantom{522)}0008\phantom{8}\\522\overline{)43600}\\\phantom{522)}\underline{\phantom{}4176\phantom{9}}\\\phantom{522)9}184\\\end{array}$$

Use the 5^{th} digit 0 from dividend 43600

$$\begin{array}{l}\phantom{522)}0008\phantom{9}\\522\overline{)43600}\\\phantom{522)}\underline{\phantom{}4176\phantom{9}}\\\phantom{522)9}1840\\\end{array}$$

Find closest multiple of 522 to 1840. We see that 3 \times 522 = 1566 is the nearest. Now subtract 1566 from 1840 to get reminder 274. Add 3 to quotient.

$$\begin{array}{l}\phantom{522)}00083\phantom{10}\\522\overline{)43600}\\\phantom{522)}\underline{\phantom{}4176\phantom{9}}\\\phantom{522)9}1840\\\phantom{522)}\underline{\phantom{9}1566\phantom{}}\\\phantom{522)99}274\\\end{array}$$

Since 274 is less than 522, stop the division. The reminder is 274. The topmost line 00083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.

$$\text{Quotient: }83 \text{Reminder: }274$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 109}{3 ^ {2} \cdot 29} = 83\frac{137}{261} = 83.52490421455938$$